508430952 has 64 divisors (see below), whose sum is σ = 1418313600. Its totient is φ = 168756480.

The previous prime is 508430837. The next prime is 508430953. The reversal of 508430952 is 259034805.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (508430953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47173 + ... + 56939.

It is an arithmetic number, because the mean of its divisors is an integer number (22161150).

Almost surely, 2^508430952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508430952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709156800).

508430952 is an abundant number, since it is smaller than the sum of its proper divisors (909882648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

508430952 is a wasteful number, since it uses less digits than its factorization.

508430952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10023 (or 10013 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 508430952 is about 22548.4135140369. The cubic root of 508430952 is about 798.1367847383.

The spelling of 508430952 in words is "five hundred eight million, four hundred thirty thousand, nine hundred fifty-two".